# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068194:0134
# Permalink to this reading: https://leibnizlegible.com/page/00068194:0134?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 1
# Folio 67v, page id 00068194:0134
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 66r); this page is its left half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068194&page=134
# Source image: https://digitale-sammlungen.gwlb.de/content/00068194/jpgs/default/00000134.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 39 lines, status machine
# Lines: 39 recognised, mean confidence 0.96
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

super data recta AB triangulum
aequilaterum construere ABC.
Centro C radio AB describatur circulus
si duo circuli in eodem plano habeant
mutuo centrum in alterius circumferentia
eorum circumferentiae sibi occurrunt, extra
rectam per centra
sit circulus centro A intervallo A B. omne
et alius centro B intervallo BA. ajo eos
sibi occurrere extra rectam per centra A. B
transeuntem. producatur ABusque ad D sitq
Ad br AD dupla ABH seu AB = _B
porro planum plani quodlibet planum vocetur P.
seu quod libet plani punctum p. circulus centro A
descriptus vocetur seu quodlibet punctum intra
circulum sit L ita ut sit sit  ALB AB at circumferen
tia circuli vocetur M et AM = AB et punctum omne
plani extra circulum vocetur N. eta ut sit ANHAB
potet omne similiter intra circulum centro B descriptur
sit  in circumt. S extra circulum r. eritq
BRgBA BS BA BT pBA. Ajo circum feren
tia autem circuli centro B descripti vocetur 
ita ut sit B_ = BA. Ajo quoddam R esse M.
Ad
Nam si ostend
imus quoddam esse L et quoddam
seque
R esse N sequetum cum R sit uip
tur etiam quoddam B esse M. jam quoddam A
est L. Nam quoddam R est A (quia BA = BA) et
A est L (quia AAB AB) similiter quoddam R
est N. nam quoddam R est D (quia BD = BA) et
D est N (quia ADp AB) Habemus ergo quoddam
 esse M. Seu duas circumferentias M et
A, B, C in eandem rectam. exhis tribus AB, AC, BC
una aequalissent summae duarum reliquarum, ac proinde
sibi alicubi occurrere in C. Superest ut ostendamus
non cadere in rectam per A et B. Cadat enim ca
major i una ex ipsis, cum tamen sit aequalis.